A website reports that 60% of their users are from outside the United States and
ID: 3071300 • Letter: A
Question
A website reports that 60% of their users are from outside the United States and that 40% of their users log on to their website every day. Suppose that 30% of their users are United States users who log on every day. Complete parts a through e below.
a) What percentage of the website's users are from the United States? The percentage of the website's users that are from the United States is
. b) What type of probability is the 30% mentioned above? personal probability joint probability marginal probability empirical probability
c) Construct a contingency table showing all the joint and marginal probabilities. Assign user from the United States and users from outside the United States to the columns. Assign users who log on every day user and users who do not log on every day to the rows. United States Not United States Total Log on every day 0.30 nothing nothing Do not log on every day nothing nothing nothing Total nothing nothing nothing (Do not round.)
d) What is the probability that a user is from the United States given that he or she logs on every day?
The probability that a user is from the United States given that he or she logs on every day is
nothing.
(Round to three decimal places as needed.)
e) Are From United States and Log on Every Day independent? Explain. Choose the correct answer below.
A.
Yes, because the conditional probability that the individual is from the United States given they log on every day is not equal to the probability the individual is from the United States.
B.
No, because the conditional probability that the individual is from the United States given they log on every day is not equal to the probability the individual is from the United States.
C.
No, because the conditional probability that the individual is from the United States given they log on every day is equal to the probability the individual is from the United States.
D.
Yes, because the conditional probability that the individual is from the United States given they log on every day is equal to the probability the individual is from the United States
Explanation / Answer
a)
percentage of the website's users are from the United States =(100-60)=40%
b) joint probability
c)( please revert if 0.30 is entered by you in below table or it is given in question)
d)
probability that a user is from the United States given that he or she logs on every day
=0.3/0.4 =0.75
e)
No, because the conditional probability that the individual is from the United States given they log on every day is not equal to the probability the individual is from the United States.
( please revert for part c and d if they are wrong)
US outside US total log on 0.3 0.1 0.4 not log on 0.1 0.5 0.6 total 0.4 0.6 1Related Questions
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